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Finding the Fourth Proportional to 5,898.74, 8,141.01 and 3,540.74

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Solution

The fourth proportional to 5,898.74, 8,141.01 and 3,540.74 is: 4,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.74 : 8,141.01 = 3,540.74 : x
  2. Step 2: Convert to fraction form
    5,898.74/8,141.01 = 3,540.74/x
  3. Step 3: Cross multiply
    5,898.74x = 8,141.01 × 3,540.74
  4. Step 4: Simplify right side
    5,898.74x = 28,825,199.75
  5. Step 5: Solve for x
    x = 28,825,199.75/5,898.74
  6. Step 6: Final answer
    x = 4,886.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.